Delay-Dependent Stability Criteria for Systems with Time-Varying Delays: State Discretization Approach
Summary :
A state-discretization approach [11], which was introduced for stability of constant delayed systems, will be extended to time-varying delayed systems. The states not only in constructing the Lyapunov-Krasovskii functional but also in designing the integral inequality technique [12] will be discretized. Based on the discretized-state, [9],[17] 's piecewise analysis method will be applied to confirm the system stability in whole delay bound. Numerical examples show that the results obtained by this criterion improve the allowable delay bounds over the existing results in the literature.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E92-A No.4 pp.1136-1141
- Publication Date
- 2009/04/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E92.A.1136
- Type of Manuscript
- PAPER
- Category
- Systems and Control
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Jeong-Wan KO, PooGyeon PARK, "Delay-Dependent Stability Criteria for Systems with Time-Varying Delays: State Discretization Approach" in IEICE TRANSACTIONS on Fundamentals,
vol. E92-A, no. 4, pp. 1136-1141, April 2009, doi: 10.1587/transfun.E92.A.1136.
Abstract: A state-discretization approach [11], which was introduced for stability of constant delayed systems, will be extended to time-varying delayed systems. The states not only in constructing the Lyapunov-Krasovskii functional but also in designing the integral inequality technique [12] will be discretized. Based on the discretized-state, [9],[17] 's piecewise analysis method will be applied to confirm the system stability in whole delay bound. Numerical examples show that the results obtained by this criterion improve the allowable delay bounds over the existing results in the literature.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E92.A.1136/_p
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@ARTICLE{e92-a_4_1136,
author={Jeong-Wan KO, PooGyeon PARK, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Delay-Dependent Stability Criteria for Systems with Time-Varying Delays: State Discretization Approach},
year={2009},
volume={E92-A},
number={4},
pages={1136-1141},
abstract={A state-discretization approach [11], which was introduced for stability of constant delayed systems, will be extended to time-varying delayed systems. The states not only in constructing the Lyapunov-Krasovskii functional but also in designing the integral inequality technique [12] will be discretized. Based on the discretized-state, [9],[17] 's piecewise analysis method will be applied to confirm the system stability in whole delay bound. Numerical examples show that the results obtained by this criterion improve the allowable delay bounds over the existing results in the literature.},
keywords={},
doi={10.1587/transfun.E92.A.1136},
ISSN={1745-1337},
month={April},}
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TY - JOUR
TI - Delay-Dependent Stability Criteria for Systems with Time-Varying Delays: State Discretization Approach
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1136
EP - 1141
AU - Jeong-Wan KO
AU - PooGyeon PARK
PY - 2009
DO - 10.1587/transfun.E92.A.1136
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E92-A
IS - 4
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - April 2009
AB - A state-discretization approach [11], which was introduced for stability of constant delayed systems, will be extended to time-varying delayed systems. The states not only in constructing the Lyapunov-Krasovskii functional but also in designing the integral inequality technique [12] will be discretized. Based on the discretized-state, [9],[17] 's piecewise analysis method will be applied to confirm the system stability in whole delay bound. Numerical examples show that the results obtained by this criterion improve the allowable delay bounds over the existing results in the literature.
ER -
English
